Here I am giving you question paper for GATE IN Instrumentation engineering examination in PDF file attached with it so you can get it easily

2. If the A- matrix of the state space model of a SISO linear time invariant system
is rank deficient, the transfer function of the system must have
(A) a pole with positive real part (B) a pole with negative real part
(C) a pole with positive imaginary part (D) a pole at the origin
Answer: (D)

5. For a vector E, which one of the following statements is NOT TRUE?
(A) If E=0, E is called solenoidal Ñ ×
(B) If E=0, E is called conservative Ñ ×
(C) If E=0, E is called irrotational Ñ ×
(D) If E=0, E is called irrotational Ñ ×
Answer: (D)

8. A source ( ) s v t V cos100 t = p has an internal impedance of ( ) 4 j3 + W . If a purely
resistive load connected to this source has to extract the maximum power out of
the source, its value in W should be
(A) 3 (B) 4 (C) 5 (D) 7

9. Which of the following statements is NOT TRUE for a continuous time causal and
stable LTI system?
(A) All the poles of the system must lie on the left side of the jw-axis
(B) Zeroes of the system can lie anywhere in the s-plane
(C) All the poles must lie within s 1 =
(D) All the roots of the characteristic equation must be located on the left side of
the jw-axis.
Answer: (C)

17. A band limited signal with a maximum frequency of 5 kHz is to be sampled.
According to the sampling theorem, the sampling frequency in kHz which is not
valid is
(A) 5 (B) 12 (C) 15 (D) 20
Answer: (A)

19. A bulb in a staircase has two switches, one switch being at the ground floor and
the other one at the first floor. The bulb can be turned ON and also can be turned
OFF by any one of the switches irrespective of the state of the other switch. The
logic of switching of the bulb resembles
(A) an AND gate (B) an OR gate (C) an XOR gate (D) a NAND gate
Answer: (C)